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Finding the Fourth Proportional to 4,792.32, 7,188.72 and 2,019.24

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Solution

The fourth proportional to 4,792.32, 7,188.72 and 2,019.24 is: 3,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.32 : 7,188.72 = 2,019.24 : x
  2. Step 2: Convert to fraction form
    4,792.32/7,188.72 = 2,019.24/x
  3. Step 3: Cross multiply
    4,792.32x = 7,188.72 × 2,019.24
  4. Step 4: Simplify right side
    4,792.32x = 14,515,750.97
  5. Step 5: Solve for x
    x = 14,515,750.97/4,792.32
  6. Step 6: Final answer
    x = 3,028.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.